Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064k |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-1713242388391093872 = -1 · 24 · 312 · 139 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1318932,-586848807] |
[a1,a2,a3,a4,a6] |
Generators |
[10872:1127061:1] |
Generators of the group modulo torsion |
j |
-1495481702656/10097379 |
j-invariant |
L |
9.0825038951718 |
L(r)(E,1)/r! |
Ω |
0.07041071233262 |
Real period |
R |
2.6873585700699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77064bb1 |
Quadratic twists by: 13 |